Fig. 2

Two types of cross sections shown in this study. The central cross section is that of the velocity heterogeneities, δV/V⁽⁰⁾, at the central point of the neutrinofs path, where V⁽⁰⁾ is the velocity in the standard spherically symmetric model and δV is the velocity perturbation. The integrated cross section is that of the integrated density anomalies along the paths, ƒδρ dl, where δρ is the density perturbation and dl is a line segment in the integrated path. Because homogeneity is assumed in the Earthfs core, the central cross section is not defined for the central points inside the core, whereas the integrated cross section is defined for all paths. The points A (at the CMB) and B (at the 200 km depth) are located at 33°S and 76°S, respectively.